We've never pushed our kids toward liking or disliking any particular thing because of gender. That's why my 3 yo. ds likes to play princess and mommy with his 5 yo. sister, for example.
I have noticed a difference in them, though. I used to think that those differences were entirely a social construct until I had one boy and one girl of my own. My boy is pretty emotionally simple, for example. I don't have to guess around at what's bugging him, his moods and what he wants and needs are all pretty right out there. Then he's over it, on to the next thing. He kind of "plods" along, and is very very physical and not too verbal. (Has a TON of energy, tho, I might add
My girl was born very emotionally complex and "moody", for lack of a better word. There is always soooo much going on in there that she doesn't express, that I need to guess at and question and analyze and such. She is very verbal and less physical than the boy. They learned how to ride two wheelers at the same time!
The boy is a HUGE risk taker and already shows off his physical prowess in front of other boys, esp. those older than them. Scary, dare-devil type things that make me fear a heart attack one of these days. The girl is more cautious and analytical, taking time to fully think things through and digest the pros and cons of each action.
They were birthed, nursed, and raised pretty much identically. They share a love of dress up - which includes fancy dresses and high heels - but that's where the "gender similarities" end. (I put that in quotes because everyone prefers bright, beautiful colors to drabby ones, whether they are male or female, but this particular "gender difference" is strictly societally and parentally enforced.)